证明若f(x)在(a,正无穷)上可导,且x趋于a+时与趋于正无穷时limf(x)相等,则存在δ属于(a,正无穷)使f'(δ)=0
1个回答
展开全部
若f(x)在(a,正无穷)上可导
lim(x->a+)f(x) = lim(x->正无穷)f(x)
=> there exists δ属于(a,正无穷), such that
f(δ)= min or max of f(x)
=>there exists δ属于(a,正无穷) such that
f'(δ) =0
lim(x->a+)f(x) = lim(x->正无穷)f(x)
=> there exists δ属于(a,正无穷), such that
f(δ)= min or max of f(x)
=>there exists δ属于(a,正无穷) such that
f'(δ) =0
已赞过
已踩过<
评论
收起
你对这个回答的评价是？
推荐律师服务：
若未解决您的问题，请您详细描述您的问题，通过百度律临进行免费专业咨询
